For The Mathematically Inclined

Problem 1:
Two companies complete a job when they work together in 100 days. The first company would do it in 150 days, how many days would the work take the second company?

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Problems from 1/17/22

Problem 1:
A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has even index) has a value of 42. Find these members.

Problem 2:

The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, from the second 4 and keep the third, we get the geometric sequence. What is the largest number of the arithmetic sequence?